SOLUTION: a piggy bank contains only quarters and nickels and there is a total of 60 coins. The total value of coins is $7.40
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Question 622173: a piggy bank contains only quarters and nickels and there is a total of 60 coins. The total value of coins is $7.40
Answer by math-vortex(648) (Show Source): You can put this solution on YOUR website!
Hi, there--
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A piggy bank contains only quarters and nickels and there is a total of 60 coins. The total value of coins is $7.40
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I'm guessing that you want to know the number of dimes and the number of nickels.
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Let q be the number of quarters
Let n be the number of nickels.
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There are 60 coins all together, so
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We know that the value of the coins is $7.40. The quarters are worth .25 *d and the nickels are worth .05*n, so
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We have a system of equations. We'll solve it using substitution to find the value of d and n.
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Rewrite the first equation in terms of n.
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Substitute 60-n for q in the second equation.
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Simplify by combining like terms and solve for n.
-.20n=-7.60}}}
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In the context of this problem, n=38 means that there are 38 nickels. Since the total number of coins is 60, there are 60-38=22 quarters.
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Let's check to make sure that this number of quarters and nickels total $7.40. Twenty-two quarters is $5.50. 38 nickels is $1.90. It is true that $5.50+1.90=$7.40. Check!
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That's it! Feel free to email if any part of this doesn't make sense yet.
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Ms.Figgy
math.in.the.vortex@gmail.com
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